I have one more challenge for you.
How can I find for a Free-Pinned-Pinned-Free (3-span) beam (Picture A below) using the Krylov–Duncan Method (Literature links and references below):
- the matrix of the system?
- the transcendental equation in order to determine the natural frequencies?
- the first three mode shapes?
I tried to do it as you can see from my MAPLE (file below), but I got stuck when I use the command "determinant" and it did not find the transcendental equation.
Krylov–Duncan Functions - page 96
You can find that book using the https://libgen.is/